A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y - \frac{xy}{4}}\), where x, yER. Find the value of 4∆3

  • A 16
  • B 8
  • C 4
  • D 2

The correct answer is D. 2

x∆y = \(\sqrt{x+y - \frac{xy}{4}}\)

4∆3 = \(\sqrt{4+3 - \frac{4*3}{4}}\) 

= \(\sqrt{4+3-3}\)

= \(\sqrt{4}\)

= 2.

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